Finding the Third Proportional to 3,656.81 and 5,542.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.81 : 5,542.59 = 5,542.59 : x
2. Step 2: Convert to fraction form
   3,656.81/5,542.59 = 5,542.59/x
3. Step 3: Cross multiply
   3,656.81x = 5,542.59 × 5,542.59
4. Step 4: Simplify right side
   3,656.81x = 30,720,345.48
5. Step 5: Solve for x
   x = 30,720,345.48/3,656.81
6. Step 6: Final answer
   x = 8,400.85